5432014400 has 84 divisors (see below), whose sum is σ = 13727547348. Its totient is φ = 2114058240.

The previous prime is 5432014381. The next prime is 5432014457. The reversal of 5432014400 is 44102345.

It can be written as a sum of positive squares in 6 ways, for example, as 695271424 + 4736742976 = 26368^2 + 68824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13322 + ... + 105078.

Almost surely, 2^5432014400 is an apocalyptic number.

5432014400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5432014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863773674).

5432014400 is an abundant number, since it is smaller than the sum of its proper divisors (8295532948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5432014400 is a wasteful number, since it uses less digits than its factorization.

5432014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91816 (or 91801 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 5432014400 is about 73702.2007812521. The cubic root of 5432014400 is about 1757.8708757871.

Adding to 5432014400 its reverse (44102345), we get a palindrome (5476116745).

The spelling of 5432014400 in words is "five billion, four hundred thirty-two million, fourteen thousand, four hundred".